通过不等式和支持函数构造闭凸锥的新方法

Novel Constructions for Closed Convex Cones Through Inequalities and Support Functions

Journal of Optimization Theory and Applications · 2025
被引 1
ABS 3

中文导读

提出两种生成闭凸锥的新方法:一种通过不等式,另一种通过支持函数,为锥优化研究提供新视角和工具。

Abstract

Two novel ways to generate closed convex cones, the main ingredient of conic optimization, are proposed in this study. The first way is constructing closed convex cones via inequalities, whereas the second one is through support functions. The contribution of this article is twofold. One is opening up new ideas for looking into structures of closed convex cones. The other one is providing novel approaches and mediums for investigating conic optimization.

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